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20526345 = 3357229107
BaseRepresentation
bin100111001001…
…1010100001001
31102121211212000
41032103110021
520223320340
62011541213
7336320400
oct116232411
942554760
1020526345
111064a824
126a5a809
134338b88
142a24637
151c06d30
hex1393509

20526345 has 96 divisors (see below), whose sum is σ = 44323200. Its totient is φ = 8975232.

The previous prime is 20526329. The next prime is 20526347. The reversal of 20526345 is 54362502.

20526345 is a `hidden beast` number, since 20 + 5 + 2 + 634 + 5 = 666.

It is not a de Polignac number, because 20526345 - 24 = 20526329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20526347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 191782 + ... + 191888.

It is an arithmetic number, because the mean of its divisors is an integer number (461700).

Almost surely, 220526345 is an apocalyptic number.

It is an amenable number.

20526345 is an abundant number, since it is smaller than the sum of its proper divisors (23796855).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20526345 is a wasteful number, since it uses less digits than its factorization.

20526345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 20526345 is about 4530.6009535160. The cubic root of 20526345 is about 273.8023731658.

Adding to 20526345 its reverse (54362502), we get a palindrome (74888847).

The spelling of 20526345 in words is "twenty million, five hundred twenty-six thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 29 35 45 49 63 87 105 107 135 145 147 189 203 245 261 315 321 435 441 535 609 735 749 783 945 963 1015 1305 1323 1421 1605 1827 2205 2247 2889 3045 3103 3745 3915 4263 4815 5243 5481 6615 6741 7105 9135 9309 11235 12789 14445 15515 15729 20223 21315 21721 26215 27405 27927 33705 38367 46545 47187 63945 65163 78645 83781 101115 108605 139635 141561 152047 191835 195489 235935 325815 418905 456141 586467 707805 760235 977445 1368423 2280705 2932335 4105269 6842115 20526345